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Finding the Fourth Proportional to 15,685.90, 21,642.34 and 9,307.19

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Solution

The fourth proportional to 15,685.90, 21,642.34 and 9,307.19 is: 12,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.90 : 21,642.34 = 9,307.19 : x
  2. Step 2: Convert to fraction form
    15,685.90/21,642.34 = 9,307.19/x
  3. Step 3: Cross multiply
    15,685.90x = 21,642.34 × 9,307.19
  4. Step 4: Simplify right side
    15,685.90x = 201,429,370.42
  5. Step 5: Solve for x
    x = 201,429,370.42/15,685.90
  6. Step 6: Final answer
    x = 12,841.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.